Acta mathematica scientia, Series B >
ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW
Received date: 2011-05-04
Online published: 2011-11-20
Supported by
The research of FMH was supported in part by NSFC (10825102) for distinguished youth scholar, and National Basic Research Program of China (973 Program) under Grant No. 2011CB808002.
In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional (n ≥ 2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H−1 loc (Ω) com-pactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional (n ≥ 2) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension (n ≥ 3).
HUANG Fei-Min , WANG Tian-Yi , WANG Yong . ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW[J]. Acta mathematica scientia, Series B, 2011 , 31(6) : 2131 -2140 . DOI: 10.1016/S0252-9602(11)60389-5
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